Partial Differential Equations 1 Foundations and Integral Representations /

This comprehensive two-volume textbook presents the whole area of Partial Differential Equations - of the elliptic, parabolic, and hyperbolic type - in two and several variables. Special emphasis is put on the connection of PDEs and complex variable methods. In this first volume the following topics...

Πλήρης περιγραφή

Λεπτομέρειες βιβλιογραφικής εγγραφής
Κύριος συγγραφέας: Sauvigny, Friedrich (Συγγραφέας)
Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
Γλώσσα:English
Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg, 2006.
Σειρά:Universitext
Θέματα:
Διαθέσιμο Online:Full Text via HEAL-Link
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245 1 0 |a Partial Differential Equations 1  |h [electronic resource] :  |b Foundations and Integral Representations /  |c by Friedrich Sauvigny. 
264 1 |a Berlin, Heidelberg :  |b Springer Berlin Heidelberg,  |c 2006. 
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505 0 |a Differentiation and Integration on Manifolds -- Foundations of Functional Analysis -- Brouwer’s Degree of Mapping with Geometric Applications -- Generalized Analytic Functions -- Potential Theory and Spherical Harmonics -- Linear Partial Differential Equations in ?n. 
520 |a This comprehensive two-volume textbook presents the whole area of Partial Differential Equations - of the elliptic, parabolic, and hyperbolic type - in two and several variables. Special emphasis is put on the connection of PDEs and complex variable methods. In this first volume the following topics are treated: Integration and differentiation on manifolds, Functional analytic foundations, Brouwer's degree of mapping, Generalized analytic functions, Potential theory and spherical harmonics, Linear partial differential equations. While we solve the partial differential equations via integral representations in this volume, we shall present functional analytic solution methods in the second volume. This textbook can be chosen for a course over several semesters on a medium level. Advanced readers may study each chapter independently from the others. 
650 0 |a Mathematics. 
650 0 |a Partial differential equations. 
650 0 |a Physics. 
650 1 4 |a Mathematics. 
650 2 4 |a Partial Differential Equations. 
650 2 4 |a Mathematical Methods in Physics. 
710 2 |a SpringerLink (Online service) 
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776 0 8 |i Printed edition:  |z 9783540344575 
830 0 |a Universitext 
856 4 0 |u http://dx.doi.org/10.1007/3-540-34459-4  |z Full Text via HEAL-Link 
912 |a ZDB-2-SMA 
950 |a Mathematics and Statistics (Springer-11649)